Rectifying Conformity Scores for Better Conditional Coverage
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Abstract (arXiv)
We present a new method for generating confidence sets within the split conformal prediction framework. Our method performs a trainable transformation of any given conformity score to improve conditional coverage while ensuring exact marginal coverage. The transformation is based on an estimate of the conditional quantile of conformity scores. The resulting method is particularly beneficial for constructing adaptive confidence sets in multi-output problems where standard conformal quantile regression approaches have limited applicability. We develop a theoretical bound that captures the influence of the accuracy of the quantile estimate on the approximate conditional validity, unlike classical bounds for conformal prediction methods that only offer marginal coverage. We experimentally show that our method is highly adaptive to the local data structure and outperforms existing methods in terms of conditional coverage, improving the reliability of statistical inference in various applications.
Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). Builds on 37 of its 72 references that are in the map. First posted on arXiv 22 Feb 2025.
Builds on
37 of 72 references.
References · 37
- 2016Distribution-Free Predictive Inference For Regressioncited by 668
- 2019Conformalized Quantile Regressioncited by 629
- 2018Do Deep Generative Models Know What They Don't Know?cited by 443
- 2020Classification with Valid and Adaptive Coveragecited by 396
- 2016Least Ambiguous Set-Valued Classifiers with Bounded Error Levelscited by 272
- 2023Conformal Prediction With Conditional Guaranteescited by 152
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- 2023Class-Conditional Conformal Prediction with Many Classescited by 109
- 2024Theoretical Foundations of Conformal Predictioncited by 101
- 2021Conformal Prediction using Conditional Histogramscited by 77
- 2019A comparison of some conformal quantile regression methodscited by 76
- 2020CD-split and HPD-split: efficient conformal regions in high dimensionscited by 76
25 more
- 2022Batch Multivalid Conformal Predictioncited by 67
- 2019Adaptive, Distribution-Free Prediction Intervals for Deep Networkscited by 56
- 2021Copula-based conformal prediction for Multi-Target Regressioncited by 53
- 2021Calibrated Multiple-Output Quantile Regression with Representation Learningcited by 50
- 2022Probabilistic Conformal Prediction Using Conditional Random Samplescited by 47
- 2023A Large-Scale Study of Probabilistic Calibration in Neural Network Regressioncited by 27
- 2024Boosted Conformal Prediction Intervalscited by 27
- 2024Conformal Prediction with Learned Featurescited by 24
- 2025A Unified Comparative Study with Generalized Conformity Scores for Multi-Output Conformal Regressioncited by 24
- 2022Split Localized Conformal Predictioncited by 23
- 2024Probabilistic Conformal Prediction with Approximate Conditional Validitycited by 23
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- 2021The Importance of Being a Band: Finite-Sample Exact Distribution-Free Prediction Sets for Functional Datacited by 16
- 2023Adaptive Conformal Prediction by Reweighting Nonconformity Scorecited by 16
- 2022Modular Conformal Calibrationcited by 15
- 2023Reliable Prediction Intervals with Regression Neural Networkscited by 11
- 2024Conformalized Adaptive Forecasting of Heterogeneous Trajectoriescited by 10
- 2023Efficient Conformal Prediction under Data Heterogeneitycited by 9
- 2023Conformalized Unconditional Quantile Regressioncited by 8
- 2023Adaptive Conformal Regression with Jackknife+ Rescaled Scorescited by 8
- 2024Distribution-Free Conformal Joint Prediction Regions for Neural Marked Temporal Point Processescited by 7
- 2024Probabilistic Calibration by Design for Neural Network Regressioncited by 6
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- 2023Conditional validity of heteroskedastic conformal regressioncited by 4
- 2019Fast Algorithms for the Quantile Regression Processcited by 2
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Citing papers per year: 2025: 8; 2026: 9.
17 papers.
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- 2025Conditional Coverage Diagnostics for Conformal Predictioncited by 8
- 2025Multivariate Standardized Residuals for Conformal Predictioncited by 6
- 2025CP4SBI: Local Conformal Calibration of Credible Sets in Simulation-Based Inferencecited by 6
- 2025Colorful Pinball: Density-Weighted Quantile Regression for Conditional Guarantee of Conformal Predictioncited by 3
- 2025Neural Optimal Transport Meets Multivariate Conformal Predictioncited by 2
- 2025CLAPS: Aleatoric-Epistemic Scaling via Last-Layer Laplace for Conformal Regressioncited by 2
- 2026Co-optimization for Adaptive Conformal Predictioncited by 2
- 2025Adaptive Cumulative Mass Calibration with Conformal Predictioncited by 1
- 2026Retrospective Counterfactual Prediction by Conditioning on the Factual Outcome: A Cross-World Approachcited by 1
- 2026Adaptive Conformal Prediction for Improving Factuality of Generations by Large Language Modelscited by 1
- 2026Conformalized Percentile Interval: Finite Sample Validity and Improved Conditional Performancecited by 1
- 2025Smoothing-Based Conformal Prediction for Balancing Efficiency and Interpretabilitycited by 0
5 more
- 2026Super-Level-Set Regression: Conditional Quantiles via Volume Minimizationcited by 0
- 2026Conformal Reliability: A New Evaluation Metric for Conditional Generationcited by 0
- 2026Self-Organized Conformal Prediction: Reducing Regional Coverage Gaps with Unsupervised Group Discoverycited by 0
- 2026How Synthetic Labels Improve Conformal Prediction: A Perspective on Conditional Coveragecited by 0
- 2026Sample-Efficient Generative Conformal Predictioncited by 0
- 2026Sample-Efficient Generative Conformal Prediction8 Oct 2026
- 2026How Synthetic Labels Improve Conformal Prediction: A Perspective on Conditional Coverage27 Sep 2026
- 2026Self-Organized Conformal Prediction: Reducing Regional Coverage Gaps with Unsupervised Group Discovery28 Jun 2026
- 2026Conformal Reliability: A New Evaluation Metric for Conditional Generation29 May 2026
- 2026Super-Level-Set Regression: Conditional Quantiles via Volume Minimization7 May 2026
- 2026Conformalized Percentile Interval: Finite Sample Validity and Improved Conditional Performance4 May 2026
- 2026Adaptive Conformal Prediction for Improving Factuality of Generations by Large Language Models15 Apr 2026
- 2026Retrospective Counterfactual Prediction by Conditioning on the Factual Outcome: A Cross-World Approach28 Mar 2026
- 2026Co-optimization for Adaptive Conformal Prediction2 Mar 2026
- 2025Colorful Pinball: Density-Weighted Quantile Regression for Conditional Guarantee of Conformal Prediction30 Dec 2025
- 2025Conditional Coverage Diagnostics for Conformal Prediction12 Dec 2025
- 2025CLAPS: Aleatoric-Epistemic Scaling via Last-Layer Laplace for Conformal Regression1 Dec 2025
5 more
- 2025Neural Optimal Transport Meets Multivariate Conformal Prediction29 Sep 2025
- 2025Smoothing-Based Conformal Prediction for Balancing Efficiency and Interpretability26 Sep 2025
- 2025CP4SBI: Local Conformal Calibration of Credible Sets in Simulation-Based Inference23 Aug 2025
- 2025Multivariate Standardized Residuals for Conformal Prediction28 Jul 2025
- 2025Adaptive Cumulative Mass Calibration with Conformal Prediction21 May 2025
- 2025Conditional Coverage Diagnostics for Conformal Predictioncited by 8
- 2025Multivariate Standardized Residuals for Conformal Predictioncited by 6
- 2025CP4SBI: Local Conformal Calibration of Credible Sets in Simulation-Based Inferencecited by 6
- 2025Colorful Pinball: Density-Weighted Quantile Regression for Conditional Guarantee of Conformal Predictioncited by 3
- 2025Neural Optimal Transport Meets Multivariate Conformal Predictioncited by 2
- 2025CLAPS: Aleatoric-Epistemic Scaling via Last-Layer Laplace for Conformal Regressioncited by 2
- 2026Co-optimization for Adaptive Conformal Predictioncited by 2
- 2025Adaptive Cumulative Mass Calibration with Conformal Predictioncited by 1
- 2026Retrospective Counterfactual Prediction by Conditioning on the Factual Outcome: A Cross-World Approachcited by 1
- 2026Adaptive Conformal Prediction for Improving Factuality of Generations by Large Language Modelscited by 1
- 2026Conformalized Percentile Interval: Finite Sample Validity and Improved Conditional Performancecited by 1
- 2025Smoothing-Based Conformal Prediction for Balancing Efficiency and Interpretabilitycited by 0
12 most cited of 17 All 17 (JSON)
- 2026Sample-Efficient Generative Conformal Prediction8 Oct 2026
- 2026How Synthetic Labels Improve Conformal Prediction: A Perspective on Conditional Coverage27 Sep 2026
- 2026Self-Organized Conformal Prediction: Reducing Regional Coverage Gaps with Unsupervised Group Discovery28 Jun 2026
- 2026Conformal Reliability: A New Evaluation Metric for Conditional Generation29 May 2026
- 2026Super-Level-Set Regression: Conditional Quantiles via Volume Minimization7 May 2026
- 2026Conformalized Percentile Interval: Finite Sample Validity and Improved Conditional Performance4 May 2026
- 2026Adaptive Conformal Prediction for Improving Factuality of Generations by Large Language Models15 Apr 2026
- 2026Retrospective Counterfactual Prediction by Conditioning on the Factual Outcome: A Cross-World Approach28 Mar 2026
- 2026Co-optimization for Adaptive Conformal Prediction2 Mar 2026
- 2025Colorful Pinball: Density-Weighted Quantile Regression for Conditional Guarantee of Conformal Prediction30 Dec 2025
- 2025Conditional Coverage Diagnostics for Conformal Prediction12 Dec 2025
- 2025CLAPS: Aleatoric-Epistemic Scaling via Last-Layer Laplace for Conformal Regression1 Dec 2025
12 newest of 17 All 17 (JSON)